SOLUTION: Ali,s cat had a litter of kittens. She sold half the litter to a pet store. She gave half of the rest to a neighbor and half of what was then left to her best friend. Ali kept on

Question 1003607: Ali,s cat had a litter of kittens. She sold half the litter to a pet store. She gave half of the rest to a neighbor and half of what was then left to her best friend. Ali kept one kitten for herself. How many kittens were in the original litter?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
p kittens;
Half p to pet store, remain.

Gave half of that to neighbor, remain.

Gave half of that to best friend, remain.

Kept 1 remaining cat for herself.

Solve this equation for p.

Some careful use of Distributive Property, careful use of common denominator to form like-terms, then some additions and subtractions.
Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!
Ali,s cat had a litter of kittens. She sold half the litter to a pet store. She gave half of the rest to a neighbor and half of what was then left to her best friend. Ali kept one kitten for herself. How many kittens were in the original litter?

Work backwards
Before giving of the remaining cats to friend, she had twice the amount she kept, or 2(1), or 2
Before giving of remaining cats to neighbor, she had twice the previous remaining number, or 2(2), or 4
Before selling of the beginning number of cats, she had twice the previous remaining number, or 2(4), or 8
She started out with
OR
After selling , she had left
After giving away of REMAINDER to neighbor, she had of , or left
After giving away of REMAINDER to friend, she had of , or left
She kept which represents 1
We can then say that: , with C being number of cats she started with
Number she started with, or C = , or
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